The line joining two points A(2,0),B(3,1) is rotated about A in anti-clockwise direction through an angle of 150 . what is The equation of the line in the now position?
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slope of the line AB = 1−03−2=1
thus the angle made with the x-axis is 45 deg
let after rotation the point B reaches to the point C.
such that ∠CAB=15
thus the slope of the line CA be tan(45+15)=tan60=3√
the coordinates of the point A are (2,0)
therefore the equation of the line CA is:
y−0=3√(x−2)3√x−y=23√
hope this helps you
thus the angle made with the x-axis is 45 deg
let after rotation the point B reaches to the point C.
such that ∠CAB=15
thus the slope of the line CA be tan(45+15)=tan60=3√
the coordinates of the point A are (2,0)
therefore the equation of the line CA is:
y−0=3√(x−2)3√x−y=23√
hope this helps you
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